Evaluating Expressions With Parentheses And Exponents Using Substitution Of Variables Video Tutorial
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Evaluating Expressions With Parentheses And Exponents Using Substitution Of Variables
This tutorial will show you how to evaluate expressions when given values for the variables. You will learn how to substitute given values into expressions as well as how to perform operations using the order of operations, where you handle parentheses first, then work with exponents next.
Evaluating expressions with parentheses and exponents using substitution of variables involves evaluating expressions, exponents, expressions, number sense.
Evaluating Expressions
For a given combination of values for the free variables, an expression may be evaluated, although for some combinations of values of the free variables, the expression may be undefined. Thus an expression represents a function whose inputs are the values assigned the free variables and whose output is the resulting value of the expression.
Exponents
Exponentiation is a mathematical operation, written an, involving two numbers, the base a and the exponent n. When n is a positive integer, exponentiation corresponds to repeated multiplication:
a1 = a
a2 = a × a
a3 = a × a × a
a4 = a × a × a × a
and so on.
Expressions
An expression is a combination of numbers, operators, grouping symbols (such as brackets and parentheses) and/or free variables and bound variables arranged in a meaningful way which can be evaluated. Bound variables are assigned values within the expression (they are for internal use) while free variables can take on values from outside the expression.
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